On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness

Abstract

In this paper we consider modulus of noncompact convexity ${\Delta }_{X,\Phi }$ associated with the strictly minimalizable measure of noncompactness $\Phi$. We also give some its properties and show its continuity on the interval $[0,\Phi ({\bar{B}}_X))$.